z-test problems1. For a and b, conduct every step of the Hypothesis testing process (1-5).a. The distribution of SAT scores is normal with u = 500, with a standard deviation o = 100. Mablebelieves that she scored significantly higher than average, at x = 676. Did Mable scores significantlyhigher than the average SAT score?b. A sample of n = 64 adults is taken from the above population and their average SAT score ismeasured to be M= 511. Does this sample differ from the population?

Answered: z-test problems 1. For a and b, conduct…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The national average SAT score is roughly 1500. We would like to see if the high school seniors who apply to Duke have higher than average SAT scores. We randomly sample 100 applicants' files and record their SAT scores. Which of the following is the correct set of hypotheses for this research question? Hint: think about how many samples we have data from. OHO: H= 1500; HA: µ = 1500 Ho: H Duke National; HA: H Duke National Ho: x= 1500; HA: x > 1500 OHO: H = 1500; HA: > 1500 O Ho: P = 1500; HA: P > 1500
In 1991, a person was working as an engineer at a paper company when they were laid off in round 2 of several rounds of layoffs by the company. This person sued the company for age discrimination. The engineer claimed that the laid off workers were older than others. The age of randomly selected 10 workers who were laid off and not lay off in round 2 are given below. Test the engineer's claim at 10% level of significance. Note that the data for two samples are in different column. Click this button to reveal the data No 25 33 35 38 48 55 56 Yes 55 55 64 Download the .csv file or copy/paste the data into Excel. After downloading .csv file, you may want to save it as a Excel Workbook. Uknown Download CSV file a. What is the response variable that is being compared in this study? Age OF b. How many samples of data are being compared in this study? 2 c. Are the samples random and independent? O Yes No e. What type of test is this? Two-side ✓ d. What test is used for this problem? Wilcoxon…
You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ1 = µ2 Ha:µ1 # µ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal (So use the "pool" option). You obtain the following two samples of data. Sample #1 Sample #2 86.4 60.5 63.3 93.5 94.6 61.1 99.2 55.9 85.8 107 88.9 68.8 88.3 61.9 78.8 59.2 103.8 99.7 74.3 72.5 76.5 62 70.5 80.7 80.2 59.2 64.3 107 89.3 113.2 48.5 95.2 72.1 76.1 115.5 75.1 97.6 88.4 96.4 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? For this calculation, use the P-value reported from the "2-sample t- test" from the technology you are using. (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads…
Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
2. Which one of the following statements is correct? A. If you are told a sample percentage is 25%, you would need to know the sample size in order to convert that percentage to a proportion. B. We always begin a hypothesis test by assuming that the alternative hypothesis is true. C. The test statistic is affected by the size of the sample. D. A small P-value means we have evidence in favor of the null hypothesis. E. The test statistic will be negative if the claimed population proportion is smaller than the sample proportion.
Males and females were asked what they would do if they received a $100 bill in the mail that was addressed to their neighbor, but had been incorrectly delivered to them. Of the 70 males sampled, 55 said yes they would return it to their neighbor. Of the 130 females sampled, 120 said yes. The overall question is: Is this sufficient evidence to say that the two true proportions are different? Assume that the p-value turns out to be .027 (again not the correct p-value for this situation but use it to answer this question). What is your decision on this hypothesis test using a 5% level of significance? O Fail to reject the null hypothesis Reject the null hypothesis
44
a. if the null hypothesis is true (avg. anxiety level score of children in the sample is the same as the avg. nationwide score; mu = 100), what can you say about the distribution of x-bar among simple random samples of 46 children? b. calculate the p-value on this distribution. given the p-value, what conclusions can you draw?
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Use five-step hypothesis testing for each of the following problems. Number each of the five steps. You may use the traditional method or the p-value method. 1) Science fiction novels average 250 pages in length. The average length of 8 randomly chosen novels written by I. M. Wordy was 265 pages in length with a standard deviation of 35. At are Wordy's novels significantly longer than the average science fiction novel? Use five-step hypothesis testing. 2) The average monthly cell phone bill was reported to be $50.07 by the U.S. Wireless Industry. Random Sampling of a large cell phone company found the following monthly cell phone charges (in dollars): At the 0.01 level of significance, can it be concluded that the average phone bill has…
Q2. Use the sample data below to test the hypotheses H: P = P2 = P3 H: Not all population proportions are equal where pi is the population proportion of Yes responses for population i. Use a 0.1 level of significance to answer the following questions. Populations Response 1 2 Yes 150 140 100 No 100 140 100 (A). What is the test statistic value? (B). Observing the x table, what is the possible range of values of the p-value? [Multiple choice with single answer] (a) 0.01
2. The difference between the two groups has been declared statistically significant at the a = 0.05 level. Use the "No Adolescent Marijuana" group to determine a suitable p0, and then test the hypothesis: HO: p ≤ p0 HA: p > p0 where p is the population proportion (conceptualized) of all adolescent marijuana users who would develop schizophrenia. Show all your work. Are the results statistically significant as claimed? Make sure you report the standard score, a p-value, your conclusion, and a comment on what statistical risk has been taken and controlled for in this testing process. Percent Developing Schizophrenia 7%- 6%- 5%- 4% 3%- 2%- 1%- 0%- A Particular COMT Gene and Psychosis 2.3% No Adolescent Marijuana Use (n=311) 5.5% Adolescent Marijuana Use (n=91)

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